19740648 has 64 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 6272000.

The previous prime is 19740631. The next prime is 19740649. The reversal of 19740648 is 84604791.

It is a happy number.

It is a super-3 number, since 3×19740648³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19740649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78523 + ... + 78773.

It is an arithmetic number, because the mean of its divisors is an integer number (807975).

Almost surely, 2^19740648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19740648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

19740648 is an abundant number, since it is smaller than the sum of its proper divisors (31969752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19740648 is a wasteful number, since it uses less digits than its factorization.

19740648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 19740648 is about 4443.0449018663. The cubic root of 19740648 is about 270.2633370423.

The spelling of 19740648 in words is "nineteen million, seven hundred forty thousand, six hundred forty-eight".